Hi⁡(z)=3-2/32⁢π2⁢ⅈ⁢∫-ⅈ⁢∞ⅈ⁢∞Γ⁡(13+13⁢t)⁢Γ⁡(-t)⁢(31/3⁢ⅇπ⁢ⅈ⁢z)t⁢ⅆ⁡t,